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Finding the Third Proportional to 13,864,648 and 29,921,490

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Solution

The third proportional to 13,864,648 and 29,921,490 is: 64,573,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864,648 : 29,921,490 = 29,921,490 : x
  2. Step 2: Convert to fraction form
    13,864,648/29,921,490 = 29,921,490/x
  3. Step 3: Cross multiply
    13,864,648x = 29,921,490 × 29,921,490
  4. Step 4: Simplify right side
    13,864,648x = 895,295,563,820,100
  5. Step 5: Solve for x
    x = 895,295,563,820,100/13,864,648
  6. Step 6: Final answer
    x = 64,573,984.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.